摘 要：Thistalk presents necessary and sufficient conditions for the generators of non-regular two-level fractional factorial designs with a run size of n = 2b, and whichproject into a full factorial in at least one subset of b factors. For this class of designs,we study the existence of generators for strength 2 arrays, particularly for designs ofsize 32 and 64. Furthermore, we explore the correspondence of strength t generatorsfor designs of size 2b for fixed values of b-t.